In probability theory and statistics, the BD is the discrete probability distribution of the number of successes in a sequence of \(n\)  independent binary experiments, where the results of each experiment is true with probability \(p\)  and false with probability \(q=1-p\)  [1]}. The probability that the binomial random variable \(x\)  takes on values in its range can be expressed using the binomial probability function:
\(P(x) = \left(\begin{array}{c}n\\x \end{array} \right)p^{x}(1-p)^{n-x}=\frac{n!}{x!(n-x)!}p^{x}(1-p)^{n-x},\) 
